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Finding the Fourth Proportional to 9,852.92, 14,781.80 and 4,009.04

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Solution

The fourth proportional to 9,852.92, 14,781.80 and 4,009.04 is: 6,014.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.92 : 14,781.80 = 4,009.04 : x
  2. Step 2: Convert to fraction form
    9,852.92/14,781.80 = 4,009.04/x
  3. Step 3: Cross multiply
    9,852.92x = 14,781.80 × 4,009.04
  4. Step 4: Simplify right side
    9,852.92x = 59,260,827.47
  5. Step 5: Solve for x
    x = 59,260,827.47/9,852.92
  6. Step 6: Final answer
    x = 6,014.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.